### About Integer:

Our first experience with math usually deals exclusively with the whole numbers: 0,1,2,3,… Once we have mastered operations with the whole numbers, we start talking about the integers …-2,-1,0,1,2,… The integers include all of the whole numbers and their opposites.

Test Objectives

- Demonstrate the ability to determine the relationship between two integers
- Demonstrate the ability to find the opposite (additive inverse) of a number
- Demonstrate the ability to simplify an expression with multiple negative signs

#1:

Instructions: Replace the ? with the inequality symbol "<" or ">".

a) -1 ? -2

b) -4 ? 0

c) 2 ? -2

d) -90 ? -20

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#2:

Instructions: Replace the ? with the inequality symbol "<" or ">".

a) -6 ? -3

b) 0 ? -1

c) -2 ? -18

c) -615 ? -2000

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#3:

Instructions: Find the opposite of each number.

a) 12

b) 9

c) -4

d) -1

e) 1045

f) 87

g) -132

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#4:

Instructions: Simplify

a) -(-7)

b) -(4 + 7 x 2)

c) -(-(-(-(-29))))

d) -(-(-(-(13 - 7))))

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#5:

Instructions: Simplify

a) -(-(-912))

b) -(-(4^{2} - 15))

c) -(-(-(-(-(-(-(-(-(-(-1037))))))))))

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Written Solutions:

#1:

Solutions:

a) -1 > -2

b) -4 < 0

c) 2 > -2

d) -90 < -20

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#2:

Solutions:

a) -6 < -3

b) 0 > -1

c) -2 > -18

c) -615 > -2000

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#3:

Solutions:

a) -12

b) -9

c) +4

d) +1

e) -1045

f) -87

g) +132

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#4:

Solutions:

a) -(-7) = 7

b) -(4 + 7 x 2) = -18

c) -(-(-(-(-29)))) = -29

d) -(-(-(-(13 - 7)))) = 6

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#5:

Solutions:

a) -(-(-912)) = -912

b) -(-(4^{2} - 15)) = 1

c) -(-(-(-(-(-(-(-(-(-(-1037)))))))))) = -1037